Deficient values of entire functions of completely regular growth along curves of regular rotation

  • S. K. Balashov
  • G. Opitz
  • A. I. Heifits
Article
  • 28 Downloads

Keywords

Entire Function Regular Growth Regular Rotation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    R. Nevanlinna, Analytic Functions, Springer-Verlag (1970).Google Scholar
  2. 2.
    N. U. Arakelyan, “Entire functions of finite order with infinite set of deficient values,” Dokl. Akad. Nauk SSSR,170, No. 2, 999–1002 (1966).Google Scholar
  3. 3.
    A. Edrei and W. H. J. Fuchs, “On meromorphic functions with regions free of poles and zeros,” Acta Math.,108, 113–134 (1962).Google Scholar
  4. 4.
    Oum Ki-Choul, “Bounds for the numbers of deficient values of entire functions whose zeros have angular densities,” Pac. J. Math.,29, No. 1, 187–202 (1969).Google Scholar
  5. 5.
    B. J. Levin, Distributions of Zeros of Entire Functions, Amer. Math. Soc. (1972).Google Scholar
  6. 6.
    A. A. Gol'dberg, “On deficient values of functions of completely regular growth,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 14, Kharkov State Univ. (1971), pp. 88–104.Google Scholar
  7. 7.
    S. K. Balashov, “On functions of completely regular growth along curves of regular rotation,” Izv. Akad. Nauk SSSR, Ser. Mat.,40, No. 2, 338–354 (1976).Google Scholar
  8. 8.
    A. Edrei and W. H. J. Fuchs, “On the growth of meromorphic functions with several deficient values,” Trans. Am. Math. Soc.,93, 292–328 (1959).Google Scholar
  9. 9.
    A. Edrei and W. H. J. Fuchs, “Bounds for the number of deficient values of certain classes of meromorphic functions,” Proc. London Math. Soc.,12, 315–344 (1962).Google Scholar
  10. 10.
    M. L. Cartwright, Integral Functions, Cambridge Univ. Press, Cambridge (1956).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • S. K. Balashov
    • 1
    • 2
  • G. Opitz
    • 1
    • 2
  • A. I. Heifits
    • 1
    • 2
  1. 1.Rostov State UniversityUSSR
  2. 2.Technical UniversityHalleGerman Democratic Republic

Personalised recommendations